dados os seguintes jogos sorteados:

Sorteio 1: 1, 3, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25         
Sorteio 2: 2, 3, 4, 5, 8, 11, 12, 14, 15, 16, 18, 21, 22, 24, 25 
Sorteio 3: 1, 2, 3, 6, 7, 9, 10, 13, 14, 15, 17, 20, 22, 24, 25 
Sorteio 4: 1, 3, 4, 6, 7, 10, 11, 15, 17, 18, 19, 20, 21, 22, 24 
Sorteio 5: 5, 6, 7, 9, 12, 13, 15, 17, 20, 21, 22, 23, 24, 25 
Sorteio 6: 1, 2, 5, 6, 8, 10, 11, 13, 15, 17, 18, 19, 20, 21, 22 
Sorteio 7: 1, 2, 3, 5, 7, 8, 10, 11, 13, 16, 17, 20, 21, 22, 25 
Sorteio 8: 1, 2, 6, 9, 10, 12, 13, 16, 17, 18, 19, 20, 22, 24, 25 
Sorteio 9: 2, 3, 7, 9, 10, 11, 12, 15, 16, 18, 19, 20, 22, 24, 25 
Sorteio 10: 1, 3, 5, 6, 8, 9, 10, 12, 13, 17, 18, 19, 21, 24, 25 
Sorteio 11: 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 15, 19, 24, 25

qual das seguintes sequencias gera mais acertos por jogo em média nos sorteios descritos acima?

A - 1, 3, 4, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25     
B - 1, 3, 5, 6, 8, 9, 10, 11, 13, 17, 18, 20, 22, 24, 25     
C - 1, 3, 4, 5, 6, 8, 10, 11, 13, 17, 18, 20, 22, 24, 25 
D - 1, 3, 5, 6, 7, 8, 10, 11, 13, 17, 18, 20, 22, 24, 25     
E - 1, 3, 5, 6, 8, 9, 10, 11, 13, 15, 17, 18, 20, 22, 25     

Para determinar qual sequência gera mais acertos por jogo, precisamos comparar quantos números de cada sequência aparecem em cada sorteio. Vamos fazer isso para cada uma das opções e calcular a média de acertos por jogo.

### Passo 1: Contagem dos acertos por sorteio
Para cada sequência de números (A, B, C, D, E), contaremos quantos números dessa sequência aparecem em cada sorteio.

**Sequência A:** 1, 3, 4, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25

Vamos contar quantos números dessa sequência aparecem em cada sorteio:

- **Sorteio 1:** 1, 3, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25 → 14 acertos
- **Sorteio 2:** 2, 3, 4, 5, 8, 11, 14, 15, 16, 18, 21, 22, 24, 25 → 8 acertos
- **Sorteio 3:** 1, 2, 3, 6, 7, 9, 10, 13, 14, 15, 17, 20, 22, 24, 25 → 9 acertos
- **Sorteio 4:** 1, 3, 4, 6, 7, 10, 11, 15, 17, 18, 19, 20, 21, 22, 24 → 9 acertos
- **Sorteio 5:** 5, 6, 7, 9, 12, 13, 15, 17, 20, 21, 22, 23, 24, 25 → 7 acertos
- **Sorteio 6:** 1, 2, 5, 6, 8, 10, 11, 13, 15, 17, 18, 19, 20, 21, 22 → 10 acertos
- **Sorteio 7:** 1, 2, 3, 5, 7, 8, 10, 11, 13, 16, 17, 20, 21, 22, 25 → 10 acertos
- **Sorteio 8:** 1, 2, 6, 9, 10, 12, 13, 16, 17, 18, 19, 20, 22, 24, 25 → 9 acertos
- **Sorteio 9:** 2, 3, 7, 9, 10, 11, 12, 15, 16, 18, 19, 20, 22, 24, 25 → 10 acertos
- **Sorteio 10:** 1, 3, 5, 6, 8, 9, 10, 12, 13, 17, 18, 19, 21, 24, 25 → 9 acertos
- **Sorteio 11:** 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 15, 19, 24, 25 → 9 acertos

**Média de acertos da Sequência A:** 
\[
\frac{14 + 8 + 9 + 9 + 7 + 10 + 10 + 9 + 10 + 9 + 9}{11} = \frac{105}{11} = 9,55 \text{ acertos por sorteio}
\]

---

**Sequência B:** 1, 3, 5, 6, 8, 9, 10, 11, 13, 17, 18, 20, 22, 24, 25

- **Sorteio 1:** 1, 3, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25 → 14 acertos
- **Sorteio 2:** 2, 3, 4, 5, 8, 11, 14, 15, 16, 18, 21, 22, 24, 25 → 8 acertos
- **Sorteio 3:** 1, 2, 3, 6, 7, 9, 10, 13, 14, 15, 17, 20, 22, 24, 25 → 9 acertos
- **Sorteio 4:** 1, 3, 4, 6, 7, 10, 11, 15, 17, 18, 19, 20, 21, 22, 24 → 9 acertos
- **Sorteio 5:** 5, 6, 7, 9, 12, 13, 15, 17, 20, 21, 22, 23, 24, 25 → 7 acertos
- **Sorteio 6:** 1, 2, 5, 6, 8, 10, 11, 13, 15, 17, 18, 19, 20, 21, 22 → 10 acertos
- **Sorteio 7:** 1, 2, 3, 5, 7, 8, 10, 11, 13, 16, 17, 20, 21, 22, 25 → 10 acertos
- **Sorteio 8:** 1, 2, 6, 9, 10, 12, 13, 16, 17, 18, 19, 20, 22, 24, 25 → 9 acertos
- **Sorteio 9:** 2, 3, 7, 9, 10, 11, 12, 15, 16, 18, 19, 20, 22, 24, 25 → 10 acertos
- **Sorteio 10:** 1, 3, 5, 6, 8, 9, 10, 12, 13, 17, 18, 19, 21, 24, 25 → 9 acertos
- **Sorteio 11:** 1, 2, 3, 5, 6, 8, 9, 10, 11, 12, 13, 15, 19, 24, 25 → 9 acertos

**Média de acertos da Sequência B:** 
\[
\frac{14 + 8 + 9 + 9 + 7 + 10 + 10 + 9 + 10 + 9 + 9}{11} = \frac{105}{11} = 9,55 \text{ acertos por sorteio}
\]

---

**Sequência C:** 1, 3, 4, 5, 6, 8, 10, 11, 13, 17, 18, 20, 22, 24, 25

- **Sorteio 1:** 1, 3, 5, 6, 8, 10, 11, 14, 16, 18, 20, 22, 24, 25 → 14 acertos
- **Sorteio 2:** 2, 3, 4, 5, 8, 11, 14, 15, 16, 18, 21, 22, 24, 25 → 8 acertos
- **Sorteio 3:** 1, 2, 3, 6, 7, 9, 10, 13, 14, 15, 17, 20, 22, 24, 25 → 9 acertos
- **Sorteio 4:** 1, 3, 4, 6, 7, 10, 11, 15, 17, 18, 19, 20, 21, 22, 24 → 9 acertos
- **Sorteio 5:** 5, 6, 7, 9, 12, 13, 15, 17, 20, 21, 22, 23, 24, 25 → 7 acertos
- **Sorteio 6:** 1, 2, 5, 6, 8, 10, 11, 13, 15, 17, 18, 19, 20, 21, 22 → 10 acertos
- **Sorteio 7:** 1, 2, 3, 5, 7, 8, 10, 11, 13, 16, 17, 20, 21, 

qual das seguintes sequencias gera mais acertos por jogo em média nos sorteios descritos acima?

This problem involves comparing sequences of numbers to determine which one results in the most hits on average across multiple lottery draws. The solution uses basic statistics and set theory to calculate average hits per sequence, providing insight into probability and set intersection. Suitable for students in Grades 9-11.

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